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    <abstract>This paper is devoted to the study of first-order hyperbolic systems of partial differential inclusions which are in particular motivated by several problems of control theory, such as tracking problems. 

The existence of contingent single-valued solutions is proved for a certain class of such systems. 

Several comparison and localization results (which replace uniqueness results in the case of hyperbolic systems of partial differential equations) allow to derive useful informations on the solutions of these problems.</abstract>
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